A note on the exceptional set for Goldbach's problem in short intervals |
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| Authors: | J Kaczorowski A Perelli J Pintz |
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| Institution: | (1) Institute of Mathematics, A. Mickiewicz University, Pozna , Poland;(2) Dipartimento di Matematica, Università di Genova, Via L. B. Alberti 4, I-16132 Genova, Italia;(3) Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1364 Budapest, Hungary |
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| Abstract: | Assume the Generalized Riemann Hypothesis and suppose thatHlog–6
x t8. Then we prove that all even integers in any interval of the form (x, x, +H) butO(H1/2log3x) exceptions are a sum of two primes.Partially supported by Consiglio Nazionale delle Ricerche, Visiting Professor Program.Partially supported by Hungarian National Foundation for Scientific Research, Grant n. 1901. |
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| Keywords: | 10J15 |
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